# Optimization

Amdahl's Law is used extensively in our chosen task distribution architecture to predict the theoretical maximum speedup for a task when only part of the task can be parallelized. The speedup of a program using multiple processors in parallel computing is limited by the time needed for the sequential fraction of the program. Below is a detailed breakdown of the sequence diagram that integrates Amdahl’s Law into Cerebrum’s operating methodology:

<figure><img src="/files/jhMvOOqbCpKm1KbGSyp9" alt=""><figcaption><p>Logic Flow of Amdahs Law Integration</p></figcaption></figure>

**Evaluate Current Methods**

* Cerebrum to Amdahl's Law: Cerebrum Cloud initiates a review of current computational processes to identify potential areas for applying Amdahl’s Law.

**Application of Amdahl's Law**

* Loop (Applying speedup calculations): Cerebrum Cloud repeatedly applies Amdahl's Law to calculate the possible speedup by parallelizing different parts of operations. The formula used is:&#x20;

$$
S = \frac{1}{(1-P) + \frac{P}{N}}
$$

Where 𝑆 is the speedup, 𝑃 is the proportion of the program that can be parallelized, and N is the number of processors.

**Integrate Improvements**

* Cerebrum to System: From the calculation done, Cerebrum integrates improvements in system architecture or the processing pipeline to exploit parallel computing based on insight gained through Amdahl's Law.

**Confirm Integration Success**

* Cerebrum to Amdahl's Law (Confirmation): Cerebrum Cloud would then send a confirmation back to the theoretical framework of Amdahl's Law, thus completing the loop of integration.

**Performance Improvement Monitoring**

* Amdahl's Law to Cerebrum (Asynchronous Monitoring): As this is an ongoing process, monitoring is effected to ensure that the theoretical increase in speed is practically manifested.

<br>


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://docs.cerebrum.dev/cerebrum/technology-stack/optimization.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.